Jacob has six times as many baseball cards as his sister Rebecca. Together they have a total of 861 cards. Write an equation and
2 answers:
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<h2>Hello!</h2>
The answer is:
There are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.
<h2>Why?</h2>We can solve this problem creating a system of equations. Let's make the two equations that will help us to solve the problem.
From the statement we know that a solution of 70 liters of a 40% is needed, and there are two differents solutions available, of 30% and 60% and we need to use them to make 70 liters of a 40% solution, so:
So:
If both solutions will make a 70 liters solution, so the first equation will be:
Let's work with real numbers converting the percent values into real numbers by dividing it into 100, so:
Then, we know that both solutions will make 70 liters of a 40% solution, so the second equation will be:
Therefore, from the first equation we have:
Then, substituting x into the second equation to find y, we have:
Hence, substituting y into the first equation to find x, we have:
So, there are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.
Have a nice day!
Using conditional probability, it is found that there is a 0.2857 = 28.57% probability that house A does not sell given that house B does not sell due to it's poor condition.
Conditional Probability
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem:
- Event A: House B does not sell.
- Event B: House A does not sell.
Home B has a 30% probability of selling, so a 100 - 30 = 70% probability of <u>not selling</u>, hence .
20% probability that <u>none</u> sells, hence .
Then, the conditional probability is:
0.2857 = 28.57% probability that house A does not sell given that house B does not sell due to it's poor condition.
A similar problem is given at brainly.com/question/14398287